What is the Greatest Common Factor of 6678 and 6692?

Greatest common factor (GCF) of 6678 and 6692 is 14.

GCF(6678,6692) = 14

We will now calculate the prime factors of 6678 and 6692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6678 and 6692.

How to find the GCF of 6678 and 6692?

We will first find the prime factorization of 6678 and 6692. After we will calculate the factors of 6678 and 6692 and find the biggest common factor number .

Step-1: Prime Factorization of 6678

Prime factors of 6678 are 2, 3, 7, 53. Prime factorization of 6678 in exponential form is:

6678 = 2¹ × 3² × 7¹ × 53¹

Step-2: Prime Factorization of 6692

Prime factors of 6692 are 2, 7, 239. Prime factorization of 6692 in exponential form is:

6692 = 2² × 7¹ × 239¹

Step-3: Factors of 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339

Step-4: Factors of 6692

List of positive integer factors of 6692 that divides 6678 without a remainder.

1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6678 and 6692. The biggest common factor number is the GCF number.
So the greatest common factor 6678 and 6692 is 14.

Also check out the Least Common Multiple of 6678 and 6692